Morrey estimates for solutions of singular quadratic nonlinear equations

被引：14
作者：
Cianci, P. [1 ]
Cirmi, G. R. [1 ]
D'Asero, S. [1 ]
Leonardi, S. [1 ]
机构：
[1] Univ Catania, Dipartimento Matemat & Informat, Viale A Doria 6, I-95125 Catania, Italy
来源：
ANNALI DI MATEMATICA PURA ED APPLICATA | 2017年 / 196卷 / 05期
关键词：
Singular natural growth gradient terms; Morrey estimates of the gradient; Higher differentiability of the gradient; LINEAR ELLIPTIC-SYSTEMS; LOWER-ORDER TERMS; PARABOLIC-SYSTEMS; HIGHER DIFFERENTIABILITY; BOUNDARY-REGULARITY; GRADIENT; SET;
D O I：
10.1007/s10231-017-0636-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the following prototype problem: { -Delta u + M vertical bar del u vertical bar(2)/u(theta) = f in Omega u = 0 on partial derivative Omega and we study the regularity of the gradient of a solution both in Morrey spaces and in fractional Sobolev spaces in correspondence of the regularity of the right-hand side.
引用
收藏
页码：1739 / 1758
页数：20
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